derivative y=sqrt(e^2+2x)

解答

导数

y = e^{2} + 2 x

\frac{1}{e ^{2} + 2 x}

求解步骤

\frac{d}{d x} (e^{2} + 2 x)

使用连锁律:

\frac{1}{2 e ^{2} + 2 x} \frac{d}{d x} (e^{2} + 2 x)

= \frac{1}{2 e ^{2} + 2 x} \frac{d}{d x} (e^{2} + 2 x)

\frac{d}{d x} (e^{2} + 2 x) = 2

= \frac{1}{2 e ^{2} + 2 x} \cdot 2

化简

\frac{1}{2 e ^{2} + 2 x} \cdot 2 : \frac{1}{e ^{2} + 2 x}

= \frac{1}{e ^{2} + 2 x}

\frac{d}{d x} (\frac{e ^{a x} - e ^{- a x}}{e ^{a x} + e ^{- a x}})

\int_{6}^{8} \frac{100}{( x - 6 ) ^{3}} d x

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\frac{d}{d x} (x^{3} y - 2 x^{2} + y^{4})